The value of x is 11.
Central Angle Theorem :It states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
From given figure, [tex]A=3x+9,B=8x-4[/tex]
[tex]\angle B=2\angle A\\\\8x-4=2(3x+9)\\\\8x-4=6x+18\\\\8x-6x=18+4\\\\2x=22\\\\x=22/2=11[/tex]
Learn more about the central angle of circle here:
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Need help with math homework
what is the question you need to ask
Find the missing length marked with a question mark.
UVW-USR
Given:
[tex]\Delta UVW\sim \Delta USR[/tex]
To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,
[tex]\Delta UVW\sim \Delta USR[/tex]
Corresponding sides of similar triangles are proportional, so
[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]
Using this, we get
[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]
On substituting the values, we get
[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]
[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]
On cross multiplication, we get
[tex]70\times 4=5\times x[/tex]
[tex]280=5x[/tex]
[tex]\dfrac{280}{5}=x[/tex]
[tex]56=x[/tex]
Therefore, the missing length is 56 units.
A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons
Answer:
1/5
Step-by-step explanation:
since there is 5 sons they divide the land in 5.
Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box. When Olivia's mom goes grocery shopping, she likes to purchase the same amount of each lunch item so that she can make complete lunches, with no leftover items. However, each item comes in a different sized package, as shown below: Bagels: six in a bag Apples: eight in a bag Cookies: twelve in a box Juice Boxes: nine in a box Find the least number of packages she must purchase in order to have the same amount of each item.
Olivia's mom should purchase how many bags of apples?
Answer:
72
Step-by-step explanation:
Find the LCM
6=2x3
8=2x2x2
9=3x3
12=2x2x3
LCM=2³x3²
=72
which phrase represents 3-7x
Answer:
3 less 7x
Step-by-step explanation:
I think soooo
not sure either
Answer: 3 - 7x = D) The difference between three and seven times a number. This expression is known because the words times and difference are your key words. Times means multiplication and difference means subtraction.
The difference between three and seven times a number.
HOPE THIS HELPS
If these two shapes are similar, what is the measure of the missing length w?
Answer:
2
Step-by-step explanation:
because 8 and 4 to get the shape smaller you divide it by 2 so you times 1 *2 to get the bigger one
What is the slope and y-intercept of the following graphed Line?
Calculate the total cost of a meal that cost $45.12 if the sales tax is 5.2% and yo want to leave a
17% tip.
Answer:
55.53
Step-by-step explanation:
45.12
5.2%= 1.052
new price= original(1+5.2%)
x=45.12(1.052)
×=47.46624+17%
=55.53
Nicole runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
Answer:10.5 ml
Step-by-step explanation:do 75/50=1.5
Do 7 times 2.6 and get 7+2.5=10.5 miles
1.
Which verbal expression can be represented by
2(x-5)?
a) five less than two times a number
b) the product of two and five more than a number
c) the product of two and five less than a number
d) twice a number decreased by five
Answer:
Twice a number decressed by five
Answer:
C
Step-by-step explanation:
the product of two and five less than a number
What number goes in the “?”
? - 2x - 5 = 5
Which expressions are equivalent to -6 + 3(2+ (-4t)?
A -12t
B 12t-12
C none of the above
Which of the following is a proportion? 5/6= 10/18 4/6 = 6/9 4/3 = 6/8 2/5 = 4/25
Answer:
4/6 = 6/9
Step-by-step explanation:
Because 4/6 = 2/3 and 6/9 = 2/3
Please I need help could you explain how did you do it?
Answer:
1
__
2
is the correct answer.
Step-by-step explanation:
Answer:
2ND ONE
Step-by-step explanation:
Under his cell phone plan, Hunter pays a flat cost of $61.50 per month and $5 per gigabyte. He wants to keep his bill under $70 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Hunter can use while staying within his budget.
Answer:
$70 >= $61.50 + $5x
Step-by-step explanation:
With the values provided the only variable would be the number of gigabytes. Since Hunter does not want to spend more than $70 then the value of the amount of money he is paying for gigabytes plus the flat cost needs to be less than or equal to $70. Therefore, the following inequality would represent this scenario best...
$70 >= $61.50 + $5x
plz help, I need help
Answer:
Answer is A
Step-by-step explanation:
because 2 × $11.50 is for adult tickets
$8 × 4 is for childrens tickets
and the equation would represent the total cost
A clothing store is offering two coupons. one is for $50 off your purchase and the other is for 30% off your purchase. If the total before the discount is $195.42, Which of the coupons is best for you to use
A. $50 off because it gives a bigger discount
B. 30% off because it gives a bigger discount
Answer:
B.
Step-by-step explanation:
$195.42 - $50 = $145.42
$195.42/30% = 136.79
Write an equation in slope-intercept form for the line with slope 7 and y-intercept -8.
Help pleaseeee
Answer:
y=7x-8
Step-by-step explanation:
y=mx+b........slope-intercept form
where m=slope,b=y-intercept
y=7x-8
helppp meeeee please
Luke and Liam wash their clothes on a schedule. Luke
washes his clothes every 7 days and Liam washes his
clothes every 9 days. How long will it be before they
both wash their clothes on the same day
Answer:
2......... ..... ..m.......... ..
2(2x + 3)=4x + 3x - 9
Answer:
x=5
Step-by-step explanation:
Answer:
2(2x + 3)=4x + 3x - 9
4x+6=4x+3x+−9
4x+6=(4x+3x)+(−9)
4x+6=7x+−9
4x+6=7x−9
4x+6−7x=7x−9−7x
−3x+6=−9
−3x+6−6=−9−6
−3x=−15
-3x/-3=-15/-3
x=5
If a bicyclist, with an initial velocity of zero, steadily gained speed until reaching a final velocity of 13m/s, how far would she travel during this race?
Answer:
The distance travel during race is 13 m
Step-by-step explanation:
Solve the following inequality. 36> -2(x+4)+14
Answer:
x > - 15
Step-by-step explanation:
Given
36 > - 2(x + 4) + 14 ← distribute and simplify right side
36 > - 2x - 8 + 14
36 > - 2x + 6 ( add 2x to both sides )
2x + 36 > 6 ( subtract 36 from both sides )
2x > - 30 ( divide both sides by 2 )
x > - 15
For the expression, select all equivalent expressions from the list.
54y - 24
A. 6(9y - 4)
B. 30y
C. 27y - 12
D.6 x 9y - 6 x 4
Answer:
the correct answer is A , D
solve the equation
2(h-8) - h=h - 16
A h = 8
B h= -8
C h = infinitely many solutions
D h = no solution
Answer:
2(h-8)-h=h-16
2(h-8)=h+h-16
2(h-8)=2h-16
2(h-8)=2(h-8)
h-8=h-8
h-h=8-8
0=0 so their can be infinite value of h.
hence c is correct
we can put in place of anything but answer will be zero.
Answer:
C h= infinitely many solutions
Step-by-step explanation:
when you replace h with any number it is true
say h= 3
2(3-8) - h = h-16
2(-5) - 3 = 3 - 16
-10 - 3 = -13
-13 = -13
using distributive property:
2h-16-h = h-16
combine like terms
h-16=h-16
it is the same expression on both sides of the equal sign
hope that helps!
help me out, please :-)
Answer:
No we see that x= 3 goes to 11 and so does x= 6
To be a function each x must correspond to a distinct y
expand the following 3(x+9) 4(x-1) 5(5x+2) 8(3x-y)
Instructions: Use fraction models to solve each word problem, and then write each answer as a fraction. question: 5 cakes are shared equally between 6 people. What fraction of a cake does each person receive?
Answer:
Each person will receive 5/6 of a cake
Step-by-step explanation:
Here, we want to get the fraction received by each person
From the question, there are six cakes shared among six people
The fraction of the person involved will get will be the number of cakes divided by the number of people
Mathematically, that will be 5/6
Which set of ordered pairs contains only points that
are on the graph y = 15 – 2x?
A {(-3, 18), (0, 15), (6, 9)}
B
{(-5, 10), (-3, 6), (5, -10)}
С
{(-5, 25), (-1, 17), (8, -1)}
D {(-7, 1), (-4, 7), (2, 19)}
Answer:
a
Step-by-step explanation:
a
a. A new restaurant owner purchased ads
to run in the paper over several days. She
1
1
5
bought two
-page ads, nine
20
-page ads,
1
and five 4 -page ads. What was the total
amount of space that